diff --git a/topics/optimisation.tex b/topics/optimisation.tex
index 0b62965..197fdef 100644
--- a/topics/optimisation.tex
+++ b/topics/optimisation.tex
@@ -1,6 +1,6 @@
 % Emacs, this is -*-latex-*
 
-\ex{Gradient of vector-valued functions}
+\ex{Gradient of real-valued multivariate functions}
 \label{ex:grad-vector}
 For a function $J$ that maps a column vector $\w \in \mathbb{R}^n$ to $\mathbb{R}$, the gradient is defined as
 \begin{equation}
@@ -275,7 +275,7 @@
 
 % --------------------------------------------------
 
-\ex{Gradient of matrix-valued functions}
+\ex{Gradient of real-valued functions on matrices}
 \label{ex:grad-matrix}
 For functions $J$ that map a matrix $\W \in \mathbb{R}^{n\times m}$ to $\mathbb{R}$, the gradient is defined as 
 \begin{equation}